A LOCAL DISCONTINUOUS GALERKIN APPROXIMATION FOR THE p-NAVIER-STOKES SYSTEM, PART III: CONVERGENCE RATES FOR THE PRESSURE.

In the present paper, we prove convergence rates for the pressure of the local discontinuous Galerkin approximation, proposed in Part I of the paper [A. Kaltenbach and M. Růžička, SIAM J. Numer. Anal., 61 (2023), pp. 1613--1640], of systems of p-Navier-Stokes type and p-Stokes type with p ∈ (2,∞). The results are supported by numerical experiments. [ABSTRACT FROM AUTHOR]